Question

Which is the equation of the graphed line written in

standard form?
A. Y=c
B. X-1/2y=0
C. X-y=0
D. Y= 1/2x

Answer 1

C. x - y = 0

Explanation:

Step 1: find the slope (m) and y-intercept (b) of the graphed line.

Using the two points on the line (0, 0) and (2, 2),

Slope =
`(rise)/(run) = (2 - 0)/(2 - 0) = (2)/(2) = 1`

The y-intercept (b) is the point at which the line intercepts the y-axis. Therefore, the y-intercept (b) = 0

Step 2: Generate an equation for the line in slope-intercept form using b = 0 and m = 1.

Substitute m = 1 and b = 0 into y = mx + b

y = 1(x) + 0

y = x

Step 3: rewrite the equation from slope-intercept form to standard form.

To express I'm standard form, take all terms with coefficient to the left, and leave the constant on the right side of the equation.

y = x

Subtract y from both sides

y - y = x - y

0 = x - y

x - y = 0